Category : 10th Class
This chapter is based upon the counting of various geometrical figures in a given complex figure.
1. Count the number of triangles in the given figure.
(a) 14 (b) 15
(c) 16 (d) 17
Let us label the given figure as shown in the adjoining figure.
Triangles made up of one segment: ANH, AOH, LBN, MCO, BDI, CEI, IDJ, IEJ.
These are 8 triangles.
Triangles made up of two segments: ABI, ACI, IFK, IGK, ANO, IDE.
These are 6 triangles.
No triangles made up of 3 segments.
Triangles made up of 4 segments: ABC, IFG.
These are 2 triangles.
Total number of triangles
Thus. the given figure consists of 16 trianales in all.
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